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Finding the Fourth Proportional to 298.62, 411.53 and 257.16

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Solution

The fourth proportional to 298.62, 411.53 and 257.16 is: 354.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.62 : 411.53 = 257.16 : x
  2. Step 2: Convert to fraction form
    298.62/411.53 = 257.16/x
  3. Step 3: Cross multiply
    298.62x = 411.53 × 257.16
  4. Step 4: Simplify right side
    298.62x = 105,827.77
  5. Step 5: Solve for x
    x = 105,827.77/298.62
  6. Step 6: Final answer
    x = 354.39

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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.