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Finding the Fourth Proportional to 360.56, 536.63 and 358.54

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Solution

The fourth proportional to 360.56, 536.63 and 358.54 is: 533.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.56 : 536.63 = 358.54 : x
  2. Step 2: Convert to fraction form
    360.56/536.63 = 358.54/x
  3. Step 3: Cross multiply
    360.56x = 536.63 × 358.54
  4. Step 4: Simplify right side
    360.56x = 192,403.32
  5. Step 5: Solve for x
    x = 192,403.32/360.56
  6. Step 6: Final answer
    x = 533.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.