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Finding the Fourth Proportional to 56.59, 78.10 and 40.03

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Solution

The fourth proportional to 56.59, 78.10 and 40.03 is: 55.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.59 : 78.10 = 40.03 : x
  2. Step 2: Convert to fraction form
    56.59/78.10 = 40.03/x
  3. Step 3: Cross multiply
    56.59x = 78.10 × 40.03
  4. Step 4: Simplify right side
    56.59x = 3,126.49
  5. Step 5: Solve for x
    x = 3,126.49/56.59
  6. Step 6: Final answer
    x = 55.25

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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.