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Finding the Fourth Proportional to 400.61, 598.16 and 356.77

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Solution

The fourth proportional to 400.61, 598.16 and 356.77 is: 532.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.61 : 598.16 = 356.77 : x
  2. Step 2: Convert to fraction form
    400.61/598.16 = 356.77/x
  3. Step 3: Cross multiply
    400.61x = 598.16 × 356.77
  4. Step 4: Simplify right side
    400.61x = 213,400.77
  5. Step 5: Solve for x
    x = 213,400.77/400.61
  6. Step 6: Final answer
    x = 532.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.