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Finding the Fourth Proportional to 358.02, 493.70 and 253.06

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Solution

The fourth proportional to 358.02, 493.70 and 253.06 is: 348.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.02 : 493.70 = 253.06 : x
  2. Step 2: Convert to fraction form
    358.02/493.70 = 253.06/x
  3. Step 3: Cross multiply
    358.02x = 493.70 × 253.06
  4. Step 4: Simplify right side
    358.02x = 124,935.72
  5. Step 5: Solve for x
    x = 124,935.72/358.02
  6. Step 6: Final answer
    x = 348.96

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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.