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Finding the Fourth Proportional to 358.98, 540.60 and 313.88

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Solution

The fourth proportional to 358.98, 540.60 and 313.88 is: 472.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.98 : 540.60 = 313.88 : x
  2. Step 2: Convert to fraction form
    358.98/540.60 = 313.88/x
  3. Step 3: Cross multiply
    358.98x = 540.60 × 313.88
  4. Step 4: Simplify right side
    358.98x = 169,683.53
  5. Step 5: Solve for x
    x = 169,683.53/358.98
  6. Step 6: Final answer
    x = 472.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.