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Finding the Fourth Proportional to 410.88, 565.44 and 332.16

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Solution

The fourth proportional to 410.88, 565.44 and 332.16 is: 457.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.88 : 565.44 = 332.16 : x
  2. Step 2: Convert to fraction form
    410.88/565.44 = 332.16/x
  3. Step 3: Cross multiply
    410.88x = 565.44 × 332.16
  4. Step 4: Simplify right side
    410.88x = 187,816.55
  5. Step 5: Solve for x
    x = 187,816.55/410.88
  6. Step 6: Final answer
    x = 457.11

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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.