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Finding the Fourth Proportional to 356.10, 531.74 and 291.23

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Solution

The fourth proportional to 356.10, 531.74 and 291.23 is: 434.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.10 : 531.74 = 291.23 : x
  2. Step 2: Convert to fraction form
    356.10/531.74 = 291.23/x
  3. Step 3: Cross multiply
    356.10x = 531.74 × 291.23
  4. Step 4: Simplify right side
    356.10x = 154,855.98
  5. Step 5: Solve for x
    x = 154,855.98/356.10
  6. Step 6: Final answer
    x = 434.87

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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.