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Finding the Fourth Proportional to 291.04, 436.47 and 154.01

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Solution

The fourth proportional to 291.04, 436.47 and 154.01 is: 230.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.04 : 436.47 = 154.01 : x
  2. Step 2: Convert to fraction form
    291.04/436.47 = 154.01/x
  3. Step 3: Cross multiply
    291.04x = 436.47 × 154.01
  4. Step 4: Simplify right side
    291.04x = 67,220.74
  5. Step 5: Solve for x
    x = 67,220.74/291.04
  6. Step 6: Final answer
    x = 230.97

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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.