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Finding the Fourth Proportional to 358.12, 493.03 and 283.29

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Solution

The fourth proportional to 358.12, 493.03 and 283.29 is: 390.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.12 : 493.03 = 283.29 : x
  2. Step 2: Convert to fraction form
    358.12/493.03 = 283.29/x
  3. Step 3: Cross multiply
    358.12x = 493.03 × 283.29
  4. Step 4: Simplify right side
    358.12x = 139,670.47
  5. Step 5: Solve for x
    x = 139,670.47/358.12
  6. Step 6: Final answer
    x = 390.01

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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.