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Finding the Fourth Proportional to 280.71, 387.58 and 210.93

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Solution

The fourth proportional to 280.71, 387.58 and 210.93 is: 291.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.71 : 387.58 = 210.93 : x
  2. Step 2: Convert to fraction form
    280.71/387.58 = 210.93/x
  3. Step 3: Cross multiply
    280.71x = 387.58 × 210.93
  4. Step 4: Simplify right side
    280.71x = 81,751.72
  5. Step 5: Solve for x
    x = 81,751.72/280.71
  6. Step 6: Final answer
    x = 291.23

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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.