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Finding the Fourth Proportional to 358.42, 537.53 and 114.88

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Solution

The fourth proportional to 358.42, 537.53 and 114.88 is: 172.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.42 : 537.53 = 114.88 : x
  2. Step 2: Convert to fraction form
    358.42/537.53 = 114.88/x
  3. Step 3: Cross multiply
    358.42x = 537.53 × 114.88
  4. Step 4: Simplify right side
    358.42x = 61,751.45
  5. Step 5: Solve for x
    x = 61,751.45/358.42
  6. Step 6: Final answer
    x = 172.29

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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.