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Finding the Fourth Proportional to 398.55, 595.32 and 317.16

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Solution

The fourth proportional to 398.55, 595.32 and 317.16 is: 473.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.55 : 595.32 = 317.16 : x
  2. Step 2: Convert to fraction form
    398.55/595.32 = 317.16/x
  3. Step 3: Cross multiply
    398.55x = 595.32 × 317.16
  4. Step 4: Simplify right side
    398.55x = 188,811.69
  5. Step 5: Solve for x
    x = 188,811.69/398.55
  6. Step 6: Final answer
    x = 473.75

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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.