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Finding the Fourth Proportional to 291.13, 433.76 and 272.50

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Solution

The fourth proportional to 291.13, 433.76 and 272.50 is: 406.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.13 : 433.76 = 272.50 : x
  2. Step 2: Convert to fraction form
    291.13/433.76 = 272.50/x
  3. Step 3: Cross multiply
    291.13x = 433.76 × 272.50
  4. Step 4: Simplify right side
    291.13x = 118,199.60
  5. Step 5: Solve for x
    x = 118,199.60/291.13
  6. Step 6: Final answer
    x = 406.00

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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.