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Finding the Fourth Proportional to 364.83, 543.48 and 342.42

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Solution

The fourth proportional to 364.83, 543.48 and 342.42 is: 510.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.83 : 543.48 = 342.42 : x
  2. Step 2: Convert to fraction form
    364.83/543.48 = 342.42/x
  3. Step 3: Cross multiply
    364.83x = 543.48 × 342.42
  4. Step 4: Simplify right side
    364.83x = 186,098.42
  5. Step 5: Solve for x
    x = 186,098.42/364.83
  6. Step 6: Final answer
    x = 510.10

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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.