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Finding the Fourth Proportional to 480.02, 661.50 and 348.80

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Solution

The fourth proportional to 480.02, 661.50 and 348.80 is: 480.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.02 : 661.50 = 348.80 : x
  2. Step 2: Convert to fraction form
    480.02/661.50 = 348.80/x
  3. Step 3: Cross multiply
    480.02x = 661.50 × 348.80
  4. Step 4: Simplify right side
    480.02x = 230,727.89
  5. Step 5: Solve for x
    x = 230,727.89/480.02
  6. Step 6: Final answer
    x = 480.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.