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Finding the Fourth Proportional to 257.16, 384.12 and 234.48

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Solution

The fourth proportional to 257.16, 384.12 and 234.48 is: 350.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.16 : 384.12 = 234.48 : x
  2. Step 2: Convert to fraction form
    257.16/384.12 = 234.48/x
  3. Step 3: Cross multiply
    257.16x = 384.12 × 234.48
  4. Step 4: Simplify right side
    257.16x = 90,068.46
  5. Step 5: Solve for x
    x = 90,068.46/257.16
  6. Step 6: Final answer
    x = 350.24

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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.