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Finding the Fourth Proportional to 385.98, 579.06 and 278.58

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Solution

The fourth proportional to 385.98, 579.06 and 278.58 is: 417.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.98 : 579.06 = 278.58 : x
  2. Step 2: Convert to fraction form
    385.98/579.06 = 278.58/x
  3. Step 3: Cross multiply
    385.98x = 579.06 × 278.58
  4. Step 4: Simplify right side
    385.98x = 161,314.53
  5. Step 5: Solve for x
    x = 161,314.53/385.98
  6. Step 6: Final answer
    x = 417.93

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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.