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Finding the Fourth Proportional to 459.32, 632.34 and 348.08

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Solution

The fourth proportional to 459.32, 632.34 and 348.08 is: 479.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.32 : 632.34 = 348.08 : x
  2. Step 2: Convert to fraction form
    459.32/632.34 = 348.08/x
  3. Step 3: Cross multiply
    459.32x = 632.34 × 348.08
  4. Step 4: Simplify right side
    459.32x = 220,101.75
  5. Step 5: Solve for x
    x = 220,101.75/459.32
  6. Step 6: Final answer
    x = 479.20

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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.