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Finding the Fourth Proportional to 280.81, 420.80 and 150.71

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Solution

The fourth proportional to 280.81, 420.80 and 150.71 is: 225.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.81 : 420.80 = 150.71 : x
  2. Step 2: Convert to fraction form
    280.81/420.80 = 150.71/x
  3. Step 3: Cross multiply
    280.81x = 420.80 × 150.71
  4. Step 4: Simplify right side
    280.81x = 63,417.04
  5. Step 5: Solve for x
    x = 63,417.04/280.81
  6. Step 6: Final answer
    x = 225.84

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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.