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Finding the Fourth Proportional to 357.37, 531.35 and 342.79

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Solution

The fourth proportional to 357.37, 531.35 and 342.79 is: 509.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.37 : 531.35 = 342.79 : x
  2. Step 2: Convert to fraction form
    357.37/531.35 = 342.79/x
  3. Step 3: Cross multiply
    357.37x = 531.35 × 342.79
  4. Step 4: Simplify right side
    357.37x = 182,141.47
  5. Step 5: Solve for x
    x = 182,141.47/357.37
  6. Step 6: Final answer
    x = 509.67

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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.