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Finding the Fourth Proportional to 357.63, 493.61 and 202.47

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Solution

The fourth proportional to 357.63, 493.61 and 202.47 is: 279.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.63 : 493.61 = 202.47 : x
  2. Step 2: Convert to fraction form
    357.63/493.61 = 202.47/x
  3. Step 3: Cross multiply
    357.63x = 493.61 × 202.47
  4. Step 4: Simplify right side
    357.63x = 99,941.22
  5. Step 5: Solve for x
    x = 99,941.22/357.63
  6. Step 6: Final answer
    x = 279.45

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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.