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Finding the Fourth Proportional to 364.98, 503.70 and 266.88

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Solution

The fourth proportional to 364.98, 503.70 and 266.88 is: 368.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.98 : 503.70 = 266.88 : x
  2. Step 2: Convert to fraction form
    364.98/503.70 = 266.88/x
  3. Step 3: Cross multiply
    364.98x = 503.70 × 266.88
  4. Step 4: Simplify right side
    364.98x = 134,427.46
  5. Step 5: Solve for x
    x = 134,427.46/364.98
  6. Step 6: Final answer
    x = 368.31

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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.