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Finding the Fourth Proportional to 395.34, 590.76 and 302.28

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Solution

The fourth proportional to 395.34, 590.76 and 302.28 is: 451.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.34 : 590.76 = 302.28 : x
  2. Step 2: Convert to fraction form
    395.34/590.76 = 302.28/x
  3. Step 3: Cross multiply
    395.34x = 590.76 × 302.28
  4. Step 4: Simplify right side
    395.34x = 178,574.93
  5. Step 5: Solve for x
    x = 178,574.93/395.34
  6. Step 6: Final answer
    x = 451.70

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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.