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Finding the Fourth Proportional to 280.12, 417.71 and 260.64

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Solution

The fourth proportional to 280.12, 417.71 and 260.64 is: 388.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.12 : 417.71 = 260.64 : x
  2. Step 2: Convert to fraction form
    280.12/417.71 = 260.64/x
  3. Step 3: Cross multiply
    280.12x = 417.71 × 260.64
  4. Step 4: Simplify right side
    280.12x = 108,871.93
  5. Step 5: Solve for x
    x = 108,871.93/280.12
  6. Step 6: Final answer
    x = 388.66

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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.