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Finding the Fourth Proportional to 58.26, 87.80 and 46.31

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Solution

The fourth proportional to 58.26, 87.80 and 46.31 is: 69.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.26 : 87.80 = 46.31 : x
  2. Step 2: Convert to fraction form
    58.26/87.80 = 46.31/x
  3. Step 3: Cross multiply
    58.26x = 87.80 × 46.31
  4. Step 4: Simplify right side
    58.26x = 4,066.35
  5. Step 5: Solve for x
    x = 4,066.35/58.26
  6. Step 6: Final answer
    x = 69.80

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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.