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Finding the Fourth Proportional to 59.74, 90.23 and 59.74

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Solution

The fourth proportional to 59.74, 90.23 and 59.74 is: 90.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.74 : 90.23 = 59.74 : x
  2. Step 2: Convert to fraction form
    59.74/90.23 = 59.74/x
  3. Step 3: Cross multiply
    59.74x = 90.23 × 59.74
  4. Step 4: Simplify right side
    59.74x = 5,389.82
  5. Step 5: Solve for x
    x = 5,389.82/59.74
  6. Step 6: Final answer
    x = 90.23

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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.