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Finding the Fourth Proportional to 355.56, 532.59 and 286.71

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Solution

The fourth proportional to 355.56, 532.59 and 286.71 is: 429.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.56 : 532.59 = 286.71 : x
  2. Step 2: Convert to fraction form
    355.56/532.59 = 286.71/x
  3. Step 3: Cross multiply
    355.56x = 532.59 × 286.71
  4. Step 4: Simplify right side
    355.56x = 152,698.88
  5. Step 5: Solve for x
    x = 152,698.88/355.56
  6. Step 6: Final answer
    x = 429.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.