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Finding the Fourth Proportional to 348.98, 524.91 and 305.78

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Solution

The fourth proportional to 348.98, 524.91 and 305.78 is: 459.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.98 : 524.91 = 305.78 : x
  2. Step 2: Convert to fraction form
    348.98/524.91 = 305.78/x
  3. Step 3: Cross multiply
    348.98x = 524.91 × 305.78
  4. Step 4: Simplify right side
    348.98x = 160,506.98
  5. Step 5: Solve for x
    x = 160,506.98/348.98
  6. Step 6: Final answer
    x = 459.93

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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.