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Finding the Fourth Proportional to 385.95, 577.78 and 248.59

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Solution

The fourth proportional to 385.95, 577.78 and 248.59 is: 372.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.95 : 577.78 = 248.59 : x
  2. Step 2: Convert to fraction form
    385.95/577.78 = 248.59/x
  3. Step 3: Cross multiply
    385.95x = 577.78 × 248.59
  4. Step 4: Simplify right side
    385.95x = 143,628.26
  5. Step 5: Solve for x
    x = 143,628.26/385.95
  6. Step 6: Final answer
    x = 372.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.