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Finding the Fourth Proportional to 400.91, 553.50 and 307.49

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Solution

The fourth proportional to 400.91, 553.50 and 307.49 is: 424.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.91 : 553.50 = 307.49 : x
  2. Step 2: Convert to fraction form
    400.91/553.50 = 307.49/x
  3. Step 3: Cross multiply
    400.91x = 553.50 × 307.49
  4. Step 4: Simplify right side
    400.91x = 170,192.95
  5. Step 5: Solve for x
    x = 170,192.95/400.91
  6. Step 6: Final answer
    x = 424.52

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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.