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Finding the Fourth Proportional to 210.83, 316.32 and 102.69

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Solution

The fourth proportional to 210.83, 316.32 and 102.69 is: 154.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.83 : 316.32 = 102.69 : x
  2. Step 2: Convert to fraction form
    210.83/316.32 = 102.69/x
  3. Step 3: Cross multiply
    210.83x = 316.32 × 102.69
  4. Step 4: Simplify right side
    210.83x = 32,482.90
  5. Step 5: Solve for x
    x = 32,482.90/210.83
  6. Step 6: Final answer
    x = 154.07

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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.