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Finding the Fourth Proportional to 457.12, 631.66 and 346.40

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Solution

The fourth proportional to 457.12, 631.66 and 346.40 is: 478.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.12 : 631.66 = 346.40 : x
  2. Step 2: Convert to fraction form
    457.12/631.66 = 346.40/x
  3. Step 3: Cross multiply
    457.12x = 631.66 × 346.40
  4. Step 4: Simplify right side
    457.12x = 218,807.02
  5. Step 5: Solve for x
    x = 218,807.02/457.12
  6. Step 6: Final answer
    x = 478.66

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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.