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Finding the Fourth Proportional to 949.51, 1,424.16 and 256.13

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Solution

The fourth proportional to 949.51, 1,424.16 and 256.13 is: 384.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.51 : 1,424.16 = 256.13 : x
  2. Step 2: Convert to fraction form
    949.51/1,424.16 = 256.13/x
  3. Step 3: Cross multiply
    949.51x = 1,424.16 × 256.13
  4. Step 4: Simplify right side
    949.51x = 364,769.46
  5. Step 5: Solve for x
    x = 364,769.46/949.51
  6. Step 6: Final answer
    x = 384.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.