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Finding the Fourth Proportional to 353.66, 530.22 and 155.91

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Solution

The fourth proportional to 353.66, 530.22 and 155.91 is: 233.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.66 : 530.22 = 155.91 : x
  2. Step 2: Convert to fraction form
    353.66/530.22 = 155.91/x
  3. Step 3: Cross multiply
    353.66x = 530.22 × 155.91
  4. Step 4: Simplify right side
    353.66x = 82,666.60
  5. Step 5: Solve for x
    x = 82,666.60/353.66
  6. Step 6: Final answer
    x = 233.75

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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.