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Finding the Fourth Proportional to 76.32, 114.32 and 47.40

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Solution

The fourth proportional to 76.32, 114.32 and 47.40 is: 71.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.32 : 114.32 = 47.40 : x
  2. Step 2: Convert to fraction form
    76.32/114.32 = 47.40/x
  3. Step 3: Cross multiply
    76.32x = 114.32 × 47.40
  4. Step 4: Simplify right side
    76.32x = 5,418.77
  5. Step 5: Solve for x
    x = 5,418.77/76.32
  6. Step 6: Final answer
    x = 71.00

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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.