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Finding the Fourth Proportional to 388.68, 581.93 and 278.60

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Solution

The fourth proportional to 388.68, 581.93 and 278.60 is: 417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.68 : 581.93 = 278.60 : x
  2. Step 2: Convert to fraction form
    388.68/581.93 = 278.60/x
  3. Step 3: Cross multiply
    388.68x = 581.93 × 278.60
  4. Step 4: Simplify right side
    388.68x = 162,125.76
  5. Step 5: Solve for x
    x = 162,125.76/388.68
  6. Step 6: Final answer
    x = 417.12

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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.