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Finding the Fourth Proportional to 369.30, 508.80 and 257.16

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Solution

The fourth proportional to 369.30, 508.80 and 257.16 is: 354.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.30 : 508.80 = 257.16 : x
  2. Step 2: Convert to fraction form
    369.30/508.80 = 257.16/x
  3. Step 3: Cross multiply
    369.30x = 508.80 × 257.16
  4. Step 4: Simplify right side
    369.30x = 130,843.01
  5. Step 5: Solve for x
    x = 130,843.01/369.30
  6. Step 6: Final answer
    x = 354.30

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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.