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Finding the Fourth Proportional to 280.07, 417.62 and 261.23

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Solution

The fourth proportional to 280.07, 417.62 and 261.23 is: 389.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.07 : 417.62 = 261.23 : x
  2. Step 2: Convert to fraction form
    280.07/417.62 = 261.23/x
  3. Step 3: Cross multiply
    280.07x = 417.62 × 261.23
  4. Step 4: Simplify right side
    280.07x = 109,091.48
  5. Step 5: Solve for x
    x = 109,091.48/280.07
  6. Step 6: Final answer
    x = 389.52

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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.