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Finding the Fourth Proportional to 210.18, 314.86 and 123.30

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Solution

The fourth proportional to 210.18, 314.86 and 123.30 is: 184.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.18 : 314.86 = 123.30 : x
  2. Step 2: Convert to fraction form
    210.18/314.86 = 123.30/x
  3. Step 3: Cross multiply
    210.18x = 314.86 × 123.30
  4. Step 4: Simplify right side
    210.18x = 38,822.24
  5. Step 5: Solve for x
    x = 38,822.24/210.18
  6. Step 6: Final answer
    x = 184.71

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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.