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Finding the Fourth Proportional to 295.66, 442.98 and 158.77

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Solution

The fourth proportional to 295.66, 442.98 and 158.77 is: 237.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.66 : 442.98 = 158.77 : x
  2. Step 2: Convert to fraction form
    295.66/442.98 = 158.77/x
  3. Step 3: Cross multiply
    295.66x = 442.98 × 158.77
  4. Step 4: Simplify right side
    295.66x = 70,330.83
  5. Step 5: Solve for x
    x = 70,330.83/295.66
  6. Step 6: Final answer
    x = 237.88

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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.