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Finding the Fourth Proportional to 56.40, 77.33 and 52.40

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Solution

The fourth proportional to 56.40, 77.33 and 52.40 is: 71.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.40 : 77.33 = 52.40 : x
  2. Step 2: Convert to fraction form
    56.40/77.33 = 52.40/x
  3. Step 3: Cross multiply
    56.40x = 77.33 × 52.40
  4. Step 4: Simplify right side
    56.40x = 4,052.09
  5. Step 5: Solve for x
    x = 4,052.09/56.40
  6. Step 6: Final answer
    x = 71.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.