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Finding the Fourth Proportional to 397.77, 597.21 and 315.55

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Solution

The fourth proportional to 397.77, 597.21 and 315.55 is: 473.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.77 : 597.21 = 315.55 : x
  2. Step 2: Convert to fraction form
    397.77/597.21 = 315.55/x
  3. Step 3: Cross multiply
    397.77x = 597.21 × 315.55
  4. Step 4: Simplify right side
    397.77x = 188,449.18
  5. Step 5: Solve for x
    x = 188,449.18/397.77
  6. Step 6: Final answer
    x = 473.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.