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Finding the Fourth Proportional to 423.32, 632.02 and 365.48

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Solution

The fourth proportional to 423.32, 632.02 and 365.48 is: 545.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.32 : 632.02 = 365.48 : x
  2. Step 2: Convert to fraction form
    423.32/632.02 = 365.48/x
  3. Step 3: Cross multiply
    423.32x = 632.02 × 365.48
  4. Step 4: Simplify right side
    423.32x = 230,990.67
  5. Step 5: Solve for x
    x = 230,990.67/423.32
  6. Step 6: Final answer
    x = 545.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.