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Finding the Fourth Proportional to 521.14, 719.28 and 355.81

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Solution

The fourth proportional to 521.14, 719.28 and 355.81 is: 491.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.14 : 719.28 = 355.81 : x
  2. Step 2: Convert to fraction form
    521.14/719.28 = 355.81/x
  3. Step 3: Cross multiply
    521.14x = 719.28 × 355.81
  4. Step 4: Simplify right side
    521.14x = 255,927.02
  5. Step 5: Solve for x
    x = 255,927.02/521.14
  6. Step 6: Final answer
    x = 491.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.