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Finding the Fourth Proportional to 354.14, 530.93 and 171.42

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Solution

The fourth proportional to 354.14, 530.93 and 171.42 is: 257.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.14 : 530.93 = 171.42 : x
  2. Step 2: Convert to fraction form
    354.14/530.93 = 171.42/x
  3. Step 3: Cross multiply
    354.14x = 530.93 × 171.42
  4. Step 4: Simplify right side
    354.14x = 91,011.16
  5. Step 5: Solve for x
    x = 91,011.16/354.14
  6. Step 6: Final answer
    x = 257.00

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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.