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Finding the Fourth Proportional to 342.48, 468.96 and 340.08

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Solution

The fourth proportional to 342.48, 468.96 and 340.08 is: 465.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.48 : 468.96 = 340.08 : x
  2. Step 2: Convert to fraction form
    342.48/468.96 = 340.08/x
  3. Step 3: Cross multiply
    342.48x = 468.96 × 340.08
  4. Step 4: Simplify right side
    342.48x = 159,483.92
  5. Step 5: Solve for x
    x = 159,483.92/342.48
  6. Step 6: Final answer
    x = 465.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.