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Finding the Fourth Proportional to 457.68, 631.29 and 283.11

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Solution

The fourth proportional to 457.68, 631.29 and 283.11 is: 390.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.68 : 631.29 = 283.11 : x
  2. Step 2: Convert to fraction form
    457.68/631.29 = 283.11/x
  3. Step 3: Cross multiply
    457.68x = 631.29 × 283.11
  4. Step 4: Simplify right side
    457.68x = 178,724.51
  5. Step 5: Solve for x
    x = 178,724.51/457.68
  6. Step 6: Final answer
    x = 390.50

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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.