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Finding the Fourth Proportional to 302.83, 452.32 and 301.40

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Solution

The fourth proportional to 302.83, 452.32 and 301.40 is: 450.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.83 : 452.32 = 301.40 : x
  2. Step 2: Convert to fraction form
    302.83/452.32 = 301.40/x
  3. Step 3: Cross multiply
    302.83x = 452.32 × 301.40
  4. Step 4: Simplify right side
    302.83x = 136,329.25
  5. Step 5: Solve for x
    x = 136,329.25/302.83
  6. Step 6: Final answer
    x = 450.18

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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.