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Finding the Fourth Proportional to 70.51, 97.31 and 42.50

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Solution

The fourth proportional to 70.51, 97.31 and 42.50 is: 58.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.51 : 97.31 = 42.50 : x
  2. Step 2: Convert to fraction form
    70.51/97.31 = 42.50/x
  3. Step 3: Cross multiply
    70.51x = 97.31 × 42.50
  4. Step 4: Simplify right side
    70.51x = 4,135.94
  5. Step 5: Solve for x
    x = 4,135.94/70.51
  6. Step 6: Final answer
    x = 58.66

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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.