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Finding the Fourth Proportional to 536.39, 740.23 and 315.34

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Solution

The fourth proportional to 536.39, 740.23 and 315.34 is: 435.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.39 : 740.23 = 315.34 : x
  2. Step 2: Convert to fraction form
    536.39/740.23 = 315.34/x
  3. Step 3: Cross multiply
    536.39x = 740.23 × 315.34
  4. Step 4: Simplify right side
    536.39x = 233,420.43
  5. Step 5: Solve for x
    x = 233,420.43/536.39
  6. Step 6: Final answer
    x = 435.17

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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.