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Finding the Fourth Proportional to 309, 466.05 and 297.48

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Solution

The fourth proportional to 309, 466.05 and 297.48 is: 448.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    309 : 466.05 = 297.48 : x
  2. Step 2: Convert to fraction form
    309/466.05 = 297.48/x
  3. Step 3: Cross multiply
    309x = 466.05 × 297.48
  4. Step 4: Simplify right side
    309x = 138,640.55
  5. Step 5: Solve for x
    x = 138,640.55/309
  6. Step 6: Final answer
    x = 448.67

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Why These Related Problems?

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