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Finding the Fourth Proportional to 364.79, 543.98 and 361.50

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Solution

The fourth proportional to 364.79, 543.98 and 361.50 is: 539.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.79 : 543.98 = 361.50 : x
  2. Step 2: Convert to fraction form
    364.79/543.98 = 361.50/x
  3. Step 3: Cross multiply
    364.79x = 543.98 × 361.50
  4. Step 4: Simplify right side
    364.79x = 196,649.34
  5. Step 5: Solve for x
    x = 196,649.34/364.79
  6. Step 6: Final answer
    x = 539.07

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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.