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Finding the Fourth Proportional to 410.66, 567.48 and 312.24

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Solution

The fourth proportional to 410.66, 567.48 and 312.24 is: 431.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.66 : 567.48 = 312.24 : x
  2. Step 2: Convert to fraction form
    410.66/567.48 = 312.24/x
  3. Step 3: Cross multiply
    410.66x = 567.48 × 312.24
  4. Step 4: Simplify right side
    410.66x = 177,189.96
  5. Step 5: Solve for x
    x = 177,189.96/410.66
  6. Step 6: Final answer
    x = 431.48

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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.