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Finding the Fourth Proportional to 253.91, 383.26 and 253.91

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Solution

The fourth proportional to 253.91, 383.26 and 253.91 is: 383.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.91 : 383.26 = 253.91 : x
  2. Step 2: Convert to fraction form
    253.91/383.26 = 253.91/x
  3. Step 3: Cross multiply
    253.91x = 383.26 × 253.91
  4. Step 4: Simplify right side
    253.91x = 97,313.71
  5. Step 5: Solve for x
    x = 97,313.71/253.91
  6. Step 6: Final answer
    x = 383.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.