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Finding the Fourth Proportional to 355.10, 532.68 and 210.50

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Solution

The fourth proportional to 355.10, 532.68 and 210.50 is: 315.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.10 : 532.68 = 210.50 : x
  2. Step 2: Convert to fraction form
    355.10/532.68 = 210.50/x
  3. Step 3: Cross multiply
    355.10x = 532.68 × 210.50
  4. Step 4: Simplify right side
    355.10x = 112,129.14
  5. Step 5: Solve for x
    x = 112,129.14/355.10
  6. Step 6: Final answer
    x = 315.77

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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.