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Finding the Fourth Proportional to 302.25, 450.56 and 290.42

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Solution

The fourth proportional to 302.25, 450.56 and 290.42 is: 432.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.25 : 450.56 = 290.42 : x
  2. Step 2: Convert to fraction form
    302.25/450.56 = 290.42/x
  3. Step 3: Cross multiply
    302.25x = 450.56 × 290.42
  4. Step 4: Simplify right side
    302.25x = 130,851.64
  5. Step 5: Solve for x
    x = 130,851.64/302.25
  6. Step 6: Final answer
    x = 432.93

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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.