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Finding the Fourth Proportional to 294.47, 441.77 and 89.02

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Solution

The fourth proportional to 294.47, 441.77 and 89.02 is: 133.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.47 : 441.77 = 89.02 : x
  2. Step 2: Convert to fraction form
    294.47/441.77 = 89.02/x
  3. Step 3: Cross multiply
    294.47x = 441.77 × 89.02
  4. Step 4: Simplify right side
    294.47x = 39,327.56
  5. Step 5: Solve for x
    x = 39,327.56/294.47
  6. Step 6: Final answer
    x = 133.56

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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.