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Finding the Fourth Proportional to 291.51, 434.86 and 274.95

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Solution

The fourth proportional to 291.51, 434.86 and 274.95 is: 410.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.51 : 434.86 = 274.95 : x
  2. Step 2: Convert to fraction form
    291.51/434.86 = 274.95/x
  3. Step 3: Cross multiply
    291.51x = 434.86 × 274.95
  4. Step 4: Simplify right side
    291.51x = 119,564.07
  5. Step 5: Solve for x
    x = 119,564.07/291.51
  6. Step 6: Final answer
    x = 410.15

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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.