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Finding the Fourth Proportional to 912.80, 1,368.74 and 296.10

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Solution

The fourth proportional to 912.80, 1,368.74 and 296.10 is: 444.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.80 : 1,368.74 = 296.10 : x
  2. Step 2: Convert to fraction form
    912.80/1,368.74 = 296.10/x
  3. Step 3: Cross multiply
    912.80x = 1,368.74 × 296.10
  4. Step 4: Simplify right side
    912.80x = 405,283.91
  5. Step 5: Solve for x
    x = 405,283.91/912.80
  6. Step 6: Final answer
    x = 444.00

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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.