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Finding the Fourth Proportional to 536.49, 740.34 and 340.20

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Solution

The fourth proportional to 536.49, 740.34 and 340.20 is: 469.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.49 : 740.34 = 340.20 : x
  2. Step 2: Convert to fraction form
    536.49/740.34 = 340.20/x
  3. Step 3: Cross multiply
    536.49x = 740.34 × 340.20
  4. Step 4: Simplify right side
    536.49x = 251,863.67
  5. Step 5: Solve for x
    x = 251,863.67/536.49
  6. Step 6: Final answer
    x = 469.47

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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.