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Finding the Fourth Proportional to 388.84, 581.04 and 295.78

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Solution

The fourth proportional to 388.84, 581.04 and 295.78 is: 441.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.84 : 581.04 = 295.78 : x
  2. Step 2: Convert to fraction form
    388.84/581.04 = 295.78/x
  3. Step 3: Cross multiply
    388.84x = 581.04 × 295.78
  4. Step 4: Simplify right side
    388.84x = 171,860.01
  5. Step 5: Solve for x
    x = 171,860.01/388.84
  6. Step 6: Final answer
    x = 441.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.