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Finding the Fourth Proportional to 389.32, 537.06 and 258.10

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Solution

The fourth proportional to 389.32, 537.06 and 258.10 is: 356.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.32 : 537.06 = 258.10 : x
  2. Step 2: Convert to fraction form
    389.32/537.06 = 258.10/x
  3. Step 3: Cross multiply
    389.32x = 537.06 × 258.10
  4. Step 4: Simplify right side
    389.32x = 138,615.19
  5. Step 5: Solve for x
    x = 138,615.19/389.32
  6. Step 6: Final answer
    x = 356.04

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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.