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Finding the Fourth Proportional to 410.55, 565.92 and 312.14

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Solution

The fourth proportional to 410.55, 565.92 and 312.14 is: 430.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.55 : 565.92 = 312.14 : x
  2. Step 2: Convert to fraction form
    410.55/565.92 = 312.14/x
  3. Step 3: Cross multiply
    410.55x = 565.92 × 312.14
  4. Step 4: Simplify right side
    410.55x = 176,643.44
  5. Step 5: Solve for x
    x = 176,643.44/410.55
  6. Step 6: Final answer
    x = 430.26

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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.