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Finding the Fourth Proportional to 350.64, 526.20 and 158.40

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Solution

The fourth proportional to 350.64, 526.20 and 158.40 is: 237.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.64 : 526.20 = 158.40 : x
  2. Step 2: Convert to fraction form
    350.64/526.20 = 158.40/x
  3. Step 3: Cross multiply
    350.64x = 526.20 × 158.40
  4. Step 4: Simplify right side
    350.64x = 83,350.08
  5. Step 5: Solve for x
    x = 83,350.08/350.64
  6. Step 6: Final answer
    x = 237.71

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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.