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Finding the Fourth Proportional to 280.93, 419.53 and 240.02

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Solution

The fourth proportional to 280.93, 419.53 and 240.02 is: 358.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.93 : 419.53 = 240.02 : x
  2. Step 2: Convert to fraction form
    280.93/419.53 = 240.02/x
  3. Step 3: Cross multiply
    280.93x = 419.53 × 240.02
  4. Step 4: Simplify right side
    280.93x = 100,695.59
  5. Step 5: Solve for x
    x = 100,695.59/280.93
  6. Step 6: Final answer
    x = 358.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.