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Finding the Fourth Proportional to 309.76, 466.75 and 256.84

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Solution

The fourth proportional to 309.76, 466.75 and 256.84 is: 387.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.76 : 466.75 = 256.84 : x
  2. Step 2: Convert to fraction form
    309.76/466.75 = 256.84/x
  3. Step 3: Cross multiply
    309.76x = 466.75 × 256.84
  4. Step 4: Simplify right side
    309.76x = 119,880.07
  5. Step 5: Solve for x
    x = 119,880.07/309.76
  6. Step 6: Final answer
    x = 387.01

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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.