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Finding the Fourth Proportional to 58.49, 88.06 and 45.73

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Solution

The fourth proportional to 58.49, 88.06 and 45.73 is: 68.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.49 : 88.06 = 45.73 : x
  2. Step 2: Convert to fraction form
    58.49/88.06 = 45.73/x
  3. Step 3: Cross multiply
    58.49x = 88.06 × 45.73
  4. Step 4: Simplify right side
    58.49x = 4,026.54
  5. Step 5: Solve for x
    x = 4,026.54/58.49
  6. Step 6: Final answer
    x = 68.84

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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.