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Finding the Fourth Proportional to 280.93, 387.64 and 156.57

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Solution

The fourth proportional to 280.93, 387.64 and 156.57 is: 216.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.93 : 387.64 = 156.57 : x
  2. Step 2: Convert to fraction form
    280.93/387.64 = 156.57/x
  3. Step 3: Cross multiply
    280.93x = 387.64 × 156.57
  4. Step 4: Simplify right side
    280.93x = 60,693.93
  5. Step 5: Solve for x
    x = 60,693.93/280.93
  6. Step 6: Final answer
    x = 216.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.