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Finding the Fourth Proportional to 384.59, 579.15 and 277.13

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Solution

The fourth proportional to 384.59, 579.15 and 277.13 is: 417.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.59 : 579.15 = 277.13 : x
  2. Step 2: Convert to fraction form
    384.59/579.15 = 277.13/x
  3. Step 3: Cross multiply
    384.59x = 579.15 × 277.13
  4. Step 4: Simplify right side
    384.59x = 160,499.84
  5. Step 5: Solve for x
    x = 160,499.84/384.59
  6. Step 6: Final answer
    x = 417.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.