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Finding the Fourth Proportional to 359.58, 536.47 and 307.62

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Solution

The fourth proportional to 359.58, 536.47 and 307.62 is: 458.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.58 : 536.47 = 307.62 : x
  2. Step 2: Convert to fraction form
    359.58/536.47 = 307.62/x
  3. Step 3: Cross multiply
    359.58x = 536.47 × 307.62
  4. Step 4: Simplify right side
    359.58x = 165,027.36
  5. Step 5: Solve for x
    x = 165,027.36/359.58
  6. Step 6: Final answer
    x = 458.94

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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.