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Finding the Fourth Proportional to 536.32, 740.63 and 340.30

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Solution

The fourth proportional to 536.32, 740.63 and 340.30 is: 469.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.32 : 740.63 = 340.30 : x
  2. Step 2: Convert to fraction form
    536.32/740.63 = 340.30/x
  3. Step 3: Cross multiply
    536.32x = 740.63 × 340.30
  4. Step 4: Simplify right side
    536.32x = 252,030.98
  5. Step 5: Solve for x
    x = 252,030.98/536.32
  6. Step 6: Final answer
    x = 469.93

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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.