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Finding the Fourth Proportional to 242.84, 364 and 155.90

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Solution

The fourth proportional to 242.84, 364 and 155.90 is: 233.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.84 : 364 = 155.90 : x
  2. Step 2: Convert to fraction form
    242.84/364 = 155.90/x
  3. Step 3: Cross multiply
    242.84x = 364 × 155.90
  4. Step 4: Simplify right side
    242.84x = 56,747.60
  5. Step 5: Solve for x
    x = 56,747.60/242.84
  6. Step 6: Final answer
    x = 233.68

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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.