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Finding the Fourth Proportional to 358.50, 535.32 and 284.55

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Solution

The fourth proportional to 358.50, 535.32 and 284.55 is: 424.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.50 : 535.32 = 284.55 : x
  2. Step 2: Convert to fraction form
    358.50/535.32 = 284.55/x
  3. Step 3: Cross multiply
    358.50x = 535.32 × 284.55
  4. Step 4: Simplify right side
    358.50x = 152,322.63
  5. Step 5: Solve for x
    x = 152,322.63/358.50
  6. Step 6: Final answer
    x = 424.89

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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.