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Finding the Fourth Proportional to 336.49, 504.78 and 153.93

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Solution

The fourth proportional to 336.49, 504.78 and 153.93 is: 230.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.49 : 504.78 = 153.93 : x
  2. Step 2: Convert to fraction form
    336.49/504.78 = 153.93/x
  3. Step 3: Cross multiply
    336.49x = 504.78 × 153.93
  4. Step 4: Simplify right side
    336.49x = 77,702.10
  5. Step 5: Solve for x
    x = 77,702.10/336.49
  6. Step 6: Final answer
    x = 230.92

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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.