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Finding the Fourth Proportional to 354.57, 530.60 and 313.26

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Solution

The fourth proportional to 354.57, 530.60 and 313.26 is: 468.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.57 : 530.60 = 313.26 : x
  2. Step 2: Convert to fraction form
    354.57/530.60 = 313.26/x
  3. Step 3: Cross multiply
    354.57x = 530.60 × 313.26
  4. Step 4: Simplify right side
    354.57x = 166,215.76
  5. Step 5: Solve for x
    x = 166,215.76/354.57
  6. Step 6: Final answer
    x = 468.78

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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.