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Finding the Fourth Proportional to 56.42, 77.76 and 42.65

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Solution

The fourth proportional to 56.42, 77.76 and 42.65 is: 58.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.42 : 77.76 = 42.65 : x
  2. Step 2: Convert to fraction form
    56.42/77.76 = 42.65/x
  3. Step 3: Cross multiply
    56.42x = 77.76 × 42.65
  4. Step 4: Simplify right side
    56.42x = 3,316.08
  5. Step 5: Solve for x
    x = 3,316.08/56.42
  6. Step 6: Final answer
    x = 58.78

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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.