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Finding the Fourth Proportional to 70.40, 105.42 and 58.96

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Solution

The fourth proportional to 70.40, 105.42 and 58.96 is: 88.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.40 : 105.42 = 58.96 : x
  2. Step 2: Convert to fraction form
    70.40/105.42 = 58.96/x
  3. Step 3: Cross multiply
    70.40x = 105.42 × 58.96
  4. Step 4: Simplify right side
    70.40x = 6,214.74
  5. Step 5: Solve for x
    x = 6,214.74/70.40
  6. Step 6: Final answer
    x = 88.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.