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Finding the Fourth Proportional to 357.81, 533.94 and 316.81

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Solution

The fourth proportional to 357.81, 533.94 and 316.81 is: 472.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.81 : 533.94 = 316.81 : x
  2. Step 2: Convert to fraction form
    357.81/533.94 = 316.81/x
  3. Step 3: Cross multiply
    357.81x = 533.94 × 316.81
  4. Step 4: Simplify right side
    357.81x = 169,157.53
  5. Step 5: Solve for x
    x = 169,157.53/357.81
  6. Step 6: Final answer
    x = 472.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.