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Finding the Fourth Proportional to 89.34, 123.20 and 56.58

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Solution

The fourth proportional to 89.34, 123.20 and 56.58 is: 78.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.34 : 123.20 = 56.58 : x
  2. Step 2: Convert to fraction form
    89.34/123.20 = 56.58/x
  3. Step 3: Cross multiply
    89.34x = 123.20 × 56.58
  4. Step 4: Simplify right side
    89.34x = 6,970.66
  5. Step 5: Solve for x
    x = 6,970.66/89.34
  6. Step 6: Final answer
    x = 78.02

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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.