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Finding the Fourth Proportional to 303.64, 453.28 and 257.68

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Solution

The fourth proportional to 303.64, 453.28 and 257.68 is: 384.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.64 : 453.28 = 257.68 : x
  2. Step 2: Convert to fraction form
    303.64/453.28 = 257.68/x
  3. Step 3: Cross multiply
    303.64x = 453.28 × 257.68
  4. Step 4: Simplify right side
    303.64x = 116,801.19
  5. Step 5: Solve for x
    x = 116,801.19/303.64
  6. Step 6: Final answer
    x = 384.67

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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.