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Finding the Fourth Proportional to 302.31, 414.66 and 284.67

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Solution

The fourth proportional to 302.31, 414.66 and 284.67 is: 390.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.31 : 414.66 = 284.67 : x
  2. Step 2: Convert to fraction form
    302.31/414.66 = 284.67/x
  3. Step 3: Cross multiply
    302.31x = 414.66 × 284.67
  4. Step 4: Simplify right side
    302.31x = 118,041.26
  5. Step 5: Solve for x
    x = 118,041.26/302.31
  6. Step 6: Final answer
    x = 390.46

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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.