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Finding the Fourth Proportional to 292.47, 436.53 and 253.25

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Solution

The fourth proportional to 292.47, 436.53 and 253.25 is: 377.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.47 : 436.53 = 253.25 : x
  2. Step 2: Convert to fraction form
    292.47/436.53 = 253.25/x
  3. Step 3: Cross multiply
    292.47x = 436.53 × 253.25
  4. Step 4: Simplify right side
    292.47x = 110,551.22
  5. Step 5: Solve for x
    x = 110,551.22/292.47
  6. Step 6: Final answer
    x = 377.99

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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.