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Finding the Fourth Proportional to 259.66, 386.54 and 258.29

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Solution

The fourth proportional to 259.66, 386.54 and 258.29 is: 384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.66 : 386.54 = 258.29 : x
  2. Step 2: Convert to fraction form
    259.66/386.54 = 258.29/x
  3. Step 3: Cross multiply
    259.66x = 386.54 × 258.29
  4. Step 4: Simplify right side
    259.66x = 99,838.13
  5. Step 5: Solve for x
    x = 99,838.13/259.66
  6. Step 6: Final answer
    x = 384.50

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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.