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Finding the Fourth Proportional to 364.70, 543.50 and 354.17

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Solution

The fourth proportional to 364.70, 543.50 and 354.17 is: 527.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.70 : 543.50 = 354.17 : x
  2. Step 2: Convert to fraction form
    364.70/543.50 = 354.17/x
  3. Step 3: Cross multiply
    364.70x = 543.50 × 354.17
  4. Step 4: Simplify right side
    364.70x = 192,492.31
  5. Step 5: Solve for x
    x = 192,492.31/364.70
  6. Step 6: Final answer
    x = 527.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.