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Finding the Fourth Proportional to 306.48, 456.54 and 295.45

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Solution

The fourth proportional to 306.48, 456.54 and 295.45 is: 440.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.48 : 456.54 = 295.45 : x
  2. Step 2: Convert to fraction form
    306.48/456.54 = 295.45/x
  3. Step 3: Cross multiply
    306.48x = 456.54 × 295.45
  4. Step 4: Simplify right side
    306.48x = 134,882.49
  5. Step 5: Solve for x
    x = 134,882.49/306.48
  6. Step 6: Final answer
    x = 440.10

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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.