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Finding the Fourth Proportional to 436.34, 653.65 and 253.35

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Solution

The fourth proportional to 436.34, 653.65 and 253.35 is: 379.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.34 : 653.65 = 253.35 : x
  2. Step 2: Convert to fraction form
    436.34/653.65 = 253.35/x
  3. Step 3: Cross multiply
    436.34x = 653.65 × 253.35
  4. Step 4: Simplify right side
    436.34x = 165,598.96
  5. Step 5: Solve for x
    x = 165,598.96/436.34
  6. Step 6: Final answer
    x = 379.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.