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Finding the Fourth Proportional to 294.98, 442.47 and 75.63

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Solution

The fourth proportional to 294.98, 442.47 and 75.63 is: 113.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.98 : 442.47 = 75.63 : x
  2. Step 2: Convert to fraction form
    294.98/442.47 = 75.63/x
  3. Step 3: Cross multiply
    294.98x = 442.47 × 75.63
  4. Step 4: Simplify right side
    294.98x = 33,461.79
  5. Step 5: Solve for x
    x = 33,461.79/294.98
  6. Step 6: Final answer
    x = 113.44

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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.