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Finding the Fourth Proportional to 309.74, 466.33 and 256.46

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Solution

The fourth proportional to 309.74, 466.33 and 256.46 is: 386.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.74 : 466.33 = 256.46 : x
  2. Step 2: Convert to fraction form
    309.74/466.33 = 256.46/x
  3. Step 3: Cross multiply
    309.74x = 466.33 × 256.46
  4. Step 4: Simplify right side
    309.74x = 119,593.71
  5. Step 5: Solve for x
    x = 119,593.71/309.74
  6. Step 6: Final answer
    x = 386.11

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