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Finding the Fourth Proportional to 210.65, 315.98 and 77.07

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Solution

The fourth proportional to 210.65, 315.98 and 77.07 is: 115.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.65 : 315.98 = 77.07 : x
  2. Step 2: Convert to fraction form
    210.65/315.98 = 77.07/x
  3. Step 3: Cross multiply
    210.65x = 315.98 × 77.07
  4. Step 4: Simplify right side
    210.65x = 24,352.19
  5. Step 5: Solve for x
    x = 24,352.19/210.65
  6. Step 6: Final answer
    x = 115.61

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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.