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Finding the Fourth Proportional to 410.48, 566.28 and 312.36

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Solution

The fourth proportional to 410.48, 566.28 and 312.36 is: 430.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.48 : 566.28 = 312.36 : x
  2. Step 2: Convert to fraction form
    410.48/566.28 = 312.36/x
  3. Step 3: Cross multiply
    410.48x = 566.28 × 312.36
  4. Step 4: Simplify right side
    410.48x = 176,883.22
  5. Step 5: Solve for x
    x = 176,883.22/410.48
  6. Step 6: Final answer
    x = 430.92

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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.