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Finding the Fourth Proportional to 352.54, 530.66 and 299.70

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Solution

The fourth proportional to 352.54, 530.66 and 299.70 is: 451.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.54 : 530.66 = 299.70 : x
  2. Step 2: Convert to fraction form
    352.54/530.66 = 299.70/x
  3. Step 3: Cross multiply
    352.54x = 530.66 × 299.70
  4. Step 4: Simplify right side
    352.54x = 159,038.80
  5. Step 5: Solve for x
    x = 159,038.80/352.54
  6. Step 6: Final answer
    x = 451.12

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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.