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Finding the Fourth Proportional to 250.68, 374.16 and 210.24

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Solution

The fourth proportional to 250.68, 374.16 and 210.24 is: 313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.68 : 374.16 = 210.24 : x
  2. Step 2: Convert to fraction form
    250.68/374.16 = 210.24/x
  3. Step 3: Cross multiply
    250.68x = 374.16 × 210.24
  4. Step 4: Simplify right side
    250.68x = 78,663.40
  5. Step 5: Solve for x
    x = 78,663.40/250.68
  6. Step 6: Final answer
    x = 313.80

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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.