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Finding the Fourth Proportional to 58.54, 88.31 and 55.69

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Solution

The fourth proportional to 58.54, 88.31 and 55.69 is: 84.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.54 : 88.31 = 55.69 : x
  2. Step 2: Convert to fraction form
    58.54/88.31 = 55.69/x
  3. Step 3: Cross multiply
    58.54x = 88.31 × 55.69
  4. Step 4: Simplify right side
    58.54x = 4,917.98
  5. Step 5: Solve for x
    x = 4,917.98/58.54
  6. Step 6: Final answer
    x = 84.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.