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Finding the Fourth Proportional to 404.59, 558.59 and 278.77

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Solution

The fourth proportional to 404.59, 558.59 and 278.77 is: 384.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.59 : 558.59 = 278.77 : x
  2. Step 2: Convert to fraction form
    404.59/558.59 = 278.77/x
  3. Step 3: Cross multiply
    404.59x = 558.59 × 278.77
  4. Step 4: Simplify right side
    404.59x = 155,718.13
  5. Step 5: Solve for x
    x = 155,718.13/404.59
  6. Step 6: Final answer
    x = 384.88

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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.