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Finding the Fourth Proportional to 292.63, 436.67 and 253.75

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Solution

The fourth proportional to 292.63, 436.67 and 253.75 is: 378.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.63 : 436.67 = 253.75 : x
  2. Step 2: Convert to fraction form
    292.63/436.67 = 253.75/x
  3. Step 3: Cross multiply
    292.63x = 436.67 × 253.75
  4. Step 4: Simplify right side
    292.63x = 110,802.83
  5. Step 5: Solve for x
    x = 110,802.83/292.63
  6. Step 6: Final answer
    x = 378.65

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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.