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Finding the Fourth Proportional to 303.21, 417.76 and 253.23

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Solution

The fourth proportional to 303.21, 417.76 and 253.23 is: 348.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.21 : 417.76 = 253.23 : x
  2. Step 2: Convert to fraction form
    303.21/417.76 = 253.23/x
  3. Step 3: Cross multiply
    303.21x = 417.76 × 253.23
  4. Step 4: Simplify right side
    303.21x = 105,788.10
  5. Step 5: Solve for x
    x = 105,788.10/303.21
  6. Step 6: Final answer
    x = 348.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.