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Finding the Fourth Proportional to 294.16, 439.53 and 257.10

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Solution

The fourth proportional to 294.16, 439.53 and 257.10 is: 384.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.16 : 439.53 = 257.10 : x
  2. Step 2: Convert to fraction form
    294.16/439.53 = 257.10/x
  3. Step 3: Cross multiply
    294.16x = 439.53 × 257.10
  4. Step 4: Simplify right side
    294.16x = 113,003.16
  5. Step 5: Solve for x
    x = 113,003.16/294.16
  6. Step 6: Final answer
    x = 384.16

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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.