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Finding the Fourth Proportional to 292.65, 436.90 and 260.25

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Solution

The fourth proportional to 292.65, 436.90 and 260.25 is: 388.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.65 : 436.90 = 260.25 : x
  2. Step 2: Convert to fraction form
    292.65/436.90 = 260.25/x
  3. Step 3: Cross multiply
    292.65x = 436.90 × 260.25
  4. Step 4: Simplify right side
    292.65x = 113,702.57
  5. Step 5: Solve for x
    x = 113,702.57/292.65
  6. Step 6: Final answer
    x = 388.53

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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.