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Finding the Fourth Proportional to 401.76, 555.66 and 358.02

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Solution

The fourth proportional to 401.76, 555.66 and 358.02 is: 495.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.76 : 555.66 = 358.02 : x
  2. Step 2: Convert to fraction form
    401.76/555.66 = 358.02/x
  3. Step 3: Cross multiply
    401.76x = 555.66 × 358.02
  4. Step 4: Simplify right side
    401.76x = 198,937.39
  5. Step 5: Solve for x
    x = 198,937.39/401.76
  6. Step 6: Final answer
    x = 495.16

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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.