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Finding the Fourth Proportional to 256.45, 384.14 and 213.01

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Solution

The fourth proportional to 256.45, 384.14 and 213.01 is: 319.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.45 : 384.14 = 213.01 : x
  2. Step 2: Convert to fraction form
    256.45/384.14 = 213.01/x
  3. Step 3: Cross multiply
    256.45x = 384.14 × 213.01
  4. Step 4: Simplify right side
    256.45x = 81,825.66
  5. Step 5: Solve for x
    x = 81,825.66/256.45
  6. Step 6: Final answer
    x = 319.07

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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.