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Finding the Fourth Proportional to 332.48, 457.92 and 312.32

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Solution

The fourth proportional to 332.48, 457.92 and 312.32 is: 430.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.48 : 457.92 = 312.32 : x
  2. Step 2: Convert to fraction form
    332.48/457.92 = 312.32/x
  3. Step 3: Cross multiply
    332.48x = 457.92 × 312.32
  4. Step 4: Simplify right side
    332.48x = 143,017.57
  5. Step 5: Solve for x
    x = 143,017.57/332.48
  6. Step 6: Final answer
    x = 430.15

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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.