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Finding the Fourth Proportional to 536.66, 740.19 and 340.23

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Solution

The fourth proportional to 536.66, 740.19 and 340.23 is: 469.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.66 : 740.19 = 340.23 : x
  2. Step 2: Convert to fraction form
    536.66/740.19 = 340.23/x
  3. Step 3: Cross multiply
    536.66x = 740.19 × 340.23
  4. Step 4: Simplify right side
    536.66x = 251,836.98
  5. Step 5: Solve for x
    x = 251,836.98/536.66
  6. Step 6: Final answer
    x = 469.27

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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.