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Finding the Fourth Proportional to 350.80, 526.40 and 155.78

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Solution

The fourth proportional to 350.80, 526.40 and 155.78 is: 233.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.80 : 526.40 = 155.78 : x
  2. Step 2: Convert to fraction form
    350.80/526.40 = 155.78/x
  3. Step 3: Cross multiply
    350.80x = 526.40 × 155.78
  4. Step 4: Simplify right side
    350.80x = 82,001.81
  5. Step 5: Solve for x
    x = 82,001.81/350.80
  6. Step 6: Final answer
    x = 233.76

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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.