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Finding the Fourth Proportional to 280.05, 417.43 and 258.18

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Solution

The fourth proportional to 280.05, 417.43 and 258.18 is: 384.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.05 : 417.43 = 258.18 : x
  2. Step 2: Convert to fraction form
    280.05/417.43 = 258.18/x
  3. Step 3: Cross multiply
    280.05x = 417.43 × 258.18
  4. Step 4: Simplify right side
    280.05x = 107,772.08
  5. Step 5: Solve for x
    x = 107,772.08/280.05
  6. Step 6: Final answer
    x = 384.83

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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.