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Finding the Fourth Proportional to 302.54, 415.02 and 283.90

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Solution

The fourth proportional to 302.54, 415.02 and 283.90 is: 389.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.54 : 415.02 = 283.90 : x
  2. Step 2: Convert to fraction form
    302.54/415.02 = 283.90/x
  3. Step 3: Cross multiply
    302.54x = 415.02 × 283.90
  4. Step 4: Simplify right side
    302.54x = 117,824.18
  5. Step 5: Solve for x
    x = 117,824.18/302.54
  6. Step 6: Final answer
    x = 389.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.