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Finding the Fourth Proportional to 493.72, 681.28 and 307.49

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Solution

The fourth proportional to 493.72, 681.28 and 307.49 is: 424.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.72 : 681.28 = 307.49 : x
  2. Step 2: Convert to fraction form
    493.72/681.28 = 307.49/x
  3. Step 3: Cross multiply
    493.72x = 681.28 × 307.49
  4. Step 4: Simplify right side
    493.72x = 209,482.61
  5. Step 5: Solve for x
    x = 209,482.61/493.72
  6. Step 6: Final answer
    x = 424.30

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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.