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Finding the Fourth Proportional to 292.90, 436.85 and 282.58

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Solution

The fourth proportional to 292.90, 436.85 and 282.58 is: 421.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.90 : 436.85 = 282.58 : x
  2. Step 2: Convert to fraction form
    292.90/436.85 = 282.58/x
  3. Step 3: Cross multiply
    292.90x = 436.85 × 282.58
  4. Step 4: Simplify right side
    292.90x = 123,445.07
  5. Step 5: Solve for x
    x = 123,445.07/292.90
  6. Step 6: Final answer
    x = 421.46

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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.