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Finding the Fourth Proportional to 210.31, 314.85 and 128.90

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Solution

The fourth proportional to 210.31, 314.85 and 128.90 is: 192.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.31 : 314.85 = 128.90 : x
  2. Step 2: Convert to fraction form
    210.31/314.85 = 128.90/x
  3. Step 3: Cross multiply
    210.31x = 314.85 × 128.90
  4. Step 4: Simplify right side
    210.31x = 40,585.44
  5. Step 5: Solve for x
    x = 40,585.44/210.31
  6. Step 6: Final answer
    x = 192.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.