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Finding the Fourth Proportional to 305.34, 456.00 and 302.16

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Solution

The fourth proportional to 305.34, 456.00 and 302.16 is: 451.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.34 : 456.00 = 302.16 : x
  2. Step 2: Convert to fraction form
    305.34/456.00 = 302.16/x
  3. Step 3: Cross multiply
    305.34x = 456.00 × 302.16
  4. Step 4: Simplify right side
    305.34x = 137,785.54
  5. Step 5: Solve for x
    x = 137,785.54/305.34
  6. Step 6: Final answer
    x = 451.26

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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.