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Finding the Fourth Proportional to 230.78, 318.64 and 152.14

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Solution

The fourth proportional to 230.78, 318.64 and 152.14 is: 210.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.78 : 318.64 = 152.14 : x
  2. Step 2: Convert to fraction form
    230.78/318.64 = 152.14/x
  3. Step 3: Cross multiply
    230.78x = 318.64 × 152.14
  4. Step 4: Simplify right side
    230.78x = 48,477.89
  5. Step 5: Solve for x
    x = 48,477.89/230.78
  6. Step 6: Final answer
    x = 210.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.