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Finding the Fourth Proportional to 58.19, 80.12 and 53.56

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Solution

The fourth proportional to 58.19, 80.12 and 53.56 is: 73.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.19 : 80.12 = 53.56 : x
  2. Step 2: Convert to fraction form
    58.19/80.12 = 53.56/x
  3. Step 3: Cross multiply
    58.19x = 80.12 × 53.56
  4. Step 4: Simplify right side
    58.19x = 4,291.46
  5. Step 5: Solve for x
    x = 4,291.46/58.19
  6. Step 6: Final answer
    x = 73.76

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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.