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Finding the Fourth Proportional to 302.94, 456.72 and 282.06

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Solution

The fourth proportional to 302.94, 456.72 and 282.06 is: 425.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.94 : 456.72 = 282.06 : x
  2. Step 2: Convert to fraction form
    302.94/456.72 = 282.06/x
  3. Step 3: Cross multiply
    302.94x = 456.72 × 282.06
  4. Step 4: Simplify right side
    302.94x = 128,822.44
  5. Step 5: Solve for x
    x = 128,822.44/302.94
  6. Step 6: Final answer
    x = 425.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.