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Finding the Fourth Proportional to 352.23, 530.73 and 292.71

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Solution

The fourth proportional to 352.23, 530.73 and 292.71 is: 441.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.23 : 530.73 = 292.71 : x
  2. Step 2: Convert to fraction form
    352.23/530.73 = 292.71/x
  3. Step 3: Cross multiply
    352.23x = 530.73 × 292.71
  4. Step 4: Simplify right side
    352.23x = 155,349.98
  5. Step 5: Solve for x
    x = 155,349.98/352.23
  6. Step 6: Final answer
    x = 441.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.