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Finding the Fourth Proportional to 373.65, 557.64 and 363.93

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Solution

The fourth proportional to 373.65, 557.64 and 363.93 is: 543.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.65 : 557.64 = 363.93 : x
  2. Step 2: Convert to fraction form
    373.65/557.64 = 363.93/x
  3. Step 3: Cross multiply
    373.65x = 557.64 × 363.93
  4. Step 4: Simplify right side
    373.65x = 202,941.37
  5. Step 5: Solve for x
    x = 202,941.37/373.65
  6. Step 6: Final answer
    x = 543.14

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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.