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Finding the Fourth Proportional to 354.29, 530.49 and 302.63

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Solution

The fourth proportional to 354.29, 530.49 and 302.63 is: 453.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.29 : 530.49 = 302.63 : x
  2. Step 2: Convert to fraction form
    354.29/530.49 = 302.63/x
  3. Step 3: Cross multiply
    354.29x = 530.49 × 302.63
  4. Step 4: Simplify right side
    354.29x = 160,542.19
  5. Step 5: Solve for x
    x = 160,542.19/354.29
  6. Step 6: Final answer
    x = 453.14

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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.