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Finding the Fourth Proportional to 388.99, 536.65 and 257.95

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Solution

The fourth proportional to 388.99, 536.65 and 257.95 is: 355.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.99 : 536.65 = 257.95 : x
  2. Step 2: Convert to fraction form
    388.99/536.65 = 257.95/x
  3. Step 3: Cross multiply
    388.99x = 536.65 × 257.95
  4. Step 4: Simplify right side
    388.99x = 138,428.87
  5. Step 5: Solve for x
    x = 138,428.87/388.99
  6. Step 6: Final answer
    x = 355.87

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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.