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Finding the Fourth Proportional to 265.99, 397.30 and 258.70

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Solution

The fourth proportional to 265.99, 397.30 and 258.70 is: 386.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.99 : 397.30 = 258.70 : x
  2. Step 2: Convert to fraction form
    265.99/397.30 = 258.70/x
  3. Step 3: Cross multiply
    265.99x = 397.30 × 258.70
  4. Step 4: Simplify right side
    265.99x = 102,781.51
  5. Step 5: Solve for x
    x = 102,781.51/265.99
  6. Step 6: Final answer
    x = 386.41

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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.