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Finding the Fourth Proportional to 282, 389.58 and 258.51

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Solution

The fourth proportional to 282, 389.58 and 258.51 is: 357.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    282 : 389.58 = 258.51 : x
  2. Step 2: Convert to fraction form
    282/389.58 = 258.51/x
  3. Step 3: Cross multiply
    282x = 389.58 × 258.51
  4. Step 4: Simplify right side
    282x = 100,710.33
  5. Step 5: Solve for x
    x = 100,710.33/282
  6. Step 6: Final answer
    x = 357.13

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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.