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Finding the Fourth Proportional to 345.84, 477.70 and 280.58

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Solution

The fourth proportional to 345.84, 477.70 and 280.58 is: 387.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.84 : 477.70 = 280.58 : x
  2. Step 2: Convert to fraction form
    345.84/477.70 = 280.58/x
  3. Step 3: Cross multiply
    345.84x = 477.70 × 280.58
  4. Step 4: Simplify right side
    345.84x = 134,033.07
  5. Step 5: Solve for x
    x = 134,033.07/345.84
  6. Step 6: Final answer
    x = 387.56

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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.