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Finding the Fourth Proportional to 302.94, 451.41 and 288.25

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Solution

The fourth proportional to 302.94, 451.41 and 288.25 is: 429.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.94 : 451.41 = 288.25 : x
  2. Step 2: Convert to fraction form
    302.94/451.41 = 288.25/x
  3. Step 3: Cross multiply
    302.94x = 451.41 × 288.25
  4. Step 4: Simplify right side
    302.94x = 130,119.50
  5. Step 5: Solve for x
    x = 130,119.50/302.94
  6. Step 6: Final answer
    x = 429.52

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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.