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Finding the Fourth Proportional to 302.96, 414.95 and 285.23

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Solution

The fourth proportional to 302.96, 414.95 and 285.23 is: 390.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.96 : 414.95 = 285.23 : x
  2. Step 2: Convert to fraction form
    302.96/414.95 = 285.23/x
  3. Step 3: Cross multiply
    302.96x = 414.95 × 285.23
  4. Step 4: Simplify right side
    302.96x = 118,356.19
  5. Step 5: Solve for x
    x = 118,356.19/302.96
  6. Step 6: Final answer
    x = 390.67

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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.