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Finding the Fourth Proportional to 32.16, 48.24 and 31.26

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Solution

The fourth proportional to 32.16, 48.24 and 31.26 is: 46.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.16 : 48.24 = 31.26 : x
  2. Step 2: Convert to fraction form
    32.16/48.24 = 31.26/x
  3. Step 3: Cross multiply
    32.16x = 48.24 × 31.26
  4. Step 4: Simplify right side
    32.16x = 1,507.98
  5. Step 5: Solve for x
    x = 1,507.98/32.16
  6. Step 6: Final answer
    x = 46.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.