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Finding the Fourth Proportional to 259.37, 386.18 and 258.15

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Solution

The fourth proportional to 259.37, 386.18 and 258.15 is: 384.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.37 : 386.18 = 258.15 : x
  2. Step 2: Convert to fraction form
    259.37/386.18 = 258.15/x
  3. Step 3: Cross multiply
    259.37x = 386.18 × 258.15
  4. Step 4: Simplify right side
    259.37x = 99,691.08
  5. Step 5: Solve for x
    x = 99,691.08/259.37
  6. Step 6: Final answer
    x = 384.37

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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.