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Finding the Fourth Proportional to 304.95, 454.91 and 282

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Solution

The fourth proportional to 304.95, 454.91 and 282 is: 420.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.95 : 454.91 = 282 : x
  2. Step 2: Convert to fraction form
    304.95/454.91 = 282/x
  3. Step 3: Cross multiply
    304.95x = 454.91 × 282
  4. Step 4: Simplify right side
    304.95x = 128,284.62
  5. Step 5: Solve for x
    x = 128,284.62/304.95
  6. Step 6: Final answer
    x = 420.67

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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.