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Finding the Fourth Proportional to 364.46, 503.14 and 247.05

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Solution

The fourth proportional to 364.46, 503.14 and 247.05 is: 341.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.46 : 503.14 = 247.05 : x
  2. Step 2: Convert to fraction form
    364.46/503.14 = 247.05/x
  3. Step 3: Cross multiply
    364.46x = 503.14 × 247.05
  4. Step 4: Simplify right side
    364.46x = 124,300.12
  5. Step 5: Solve for x
    x = 124,300.12/364.46
  6. Step 6: Final answer
    x = 341.06

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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.