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Finding the Fourth Proportional to 253.30, 355.70 and 253.30

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Solution

The fourth proportional to 253.30, 355.70 and 253.30 is: 355.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.30 : 355.70 = 253.30 : x
  2. Step 2: Convert to fraction form
    253.30/355.70 = 253.30/x
  3. Step 3: Cross multiply
    253.30x = 355.70 × 253.30
  4. Step 4: Simplify right side
    253.30x = 90,098.81
  5. Step 5: Solve for x
    x = 90,098.81/253.30
  6. Step 6: Final answer
    x = 355.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.