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Finding the Fourth Proportional to 536.70, 740.39 and 340.07

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Solution

The fourth proportional to 536.70, 740.39 and 340.07 is: 469.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.70 : 740.39 = 340.07 : x
  2. Step 2: Convert to fraction form
    536.70/740.39 = 340.07/x
  3. Step 3: Cross multiply
    536.70x = 740.39 × 340.07
  4. Step 4: Simplify right side
    536.70x = 251,784.58
  5. Step 5: Solve for x
    x = 251,784.58/536.70
  6. Step 6: Final answer
    x = 469.13

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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.