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Finding the Fourth Proportional to 210.31, 314.04 and 171.86

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Solution

The fourth proportional to 210.31, 314.04 and 171.86 is: 256.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.31 : 314.04 = 171.86 : x
  2. Step 2: Convert to fraction form
    210.31/314.04 = 171.86/x
  3. Step 3: Cross multiply
    210.31x = 314.04 × 171.86
  4. Step 4: Simplify right side
    210.31x = 53,970.06
  5. Step 5: Solve for x
    x = 53,970.06/210.31
  6. Step 6: Final answer
    x = 256.63

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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.