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Finding the Fourth Proportional to 302.45, 451.53 and 256.32

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Solution

The fourth proportional to 302.45, 451.53 and 256.32 is: 382.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.45 : 451.53 = 256.32 : x
  2. Step 2: Convert to fraction form
    302.45/451.53 = 256.32/x
  3. Step 3: Cross multiply
    302.45x = 451.53 × 256.32
  4. Step 4: Simplify right side
    302.45x = 115,736.17
  5. Step 5: Solve for x
    x = 115,736.17/302.45
  6. Step 6: Final answer
    x = 382.67

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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.