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Finding the Fourth Proportional to 340.74, 513.20 and 302.67

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Solution

The fourth proportional to 340.74, 513.20 and 302.67 is: 455.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.74 : 513.20 = 302.67 : x
  2. Step 2: Convert to fraction form
    340.74/513.20 = 302.67/x
  3. Step 3: Cross multiply
    340.74x = 513.20 × 302.67
  4. Step 4: Simplify right side
    340.74x = 155,331.00
  5. Step 5: Solve for x
    x = 155,331.00/340.74
  6. Step 6: Final answer
    x = 455.86

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