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Finding the Fourth Proportional to 364.55, 503.06 and 198.76

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Solution

The fourth proportional to 364.55, 503.06 and 198.76 is: 274.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.55 : 503.06 = 198.76 : x
  2. Step 2: Convert to fraction form
    364.55/503.06 = 198.76/x
  3. Step 3: Cross multiply
    364.55x = 503.06 × 198.76
  4. Step 4: Simplify right side
    364.55x = 99,988.21
  5. Step 5: Solve for x
    x = 99,988.21/364.55
  6. Step 6: Final answer
    x = 274.28

Related Problems

Find fourth proportional to 182.28, 251.53 and 99.38
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.