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Finding the Fourth Proportional to 623.32, 934.16 and 257.88

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Solution

The fourth proportional to 623.32, 934.16 and 257.88 is: 386.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.32 : 934.16 = 257.88 : x
  2. Step 2: Convert to fraction form
    623.32/934.16 = 257.88/x
  3. Step 3: Cross multiply
    623.32x = 934.16 × 257.88
  4. Step 4: Simplify right side
    623.32x = 240,901.18
  5. Step 5: Solve for x
    x = 240,901.18/623.32
  6. Step 6: Final answer
    x = 386.48

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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.