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Finding the Fourth Proportional to 291.24, 434.40 and 274.32

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Solution

The fourth proportional to 291.24, 434.40 and 274.32 is: 409.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.24 : 434.40 = 274.32 : x
  2. Step 2: Convert to fraction form
    291.24/434.40 = 274.32/x
  3. Step 3: Cross multiply
    291.24x = 434.40 × 274.32
  4. Step 4: Simplify right side
    291.24x = 119,164.61
  5. Step 5: Solve for x
    x = 119,164.61/291.24
  6. Step 6: Final answer
    x = 409.16

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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.