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Finding the Fourth Proportional to 242.90, 364.46 and 105.98

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Solution

The fourth proportional to 242.90, 364.46 and 105.98 is: 159.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.90 : 364.46 = 105.98 : x
  2. Step 2: Convert to fraction form
    242.90/364.46 = 105.98/x
  3. Step 3: Cross multiply
    242.90x = 364.46 × 105.98
  4. Step 4: Simplify right side
    242.90x = 38,625.47
  5. Step 5: Solve for x
    x = 38,625.47/242.90
  6. Step 6: Final answer
    x = 159.02

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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.