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Finding the Fourth Proportional to 402.32, 555.35 and 369.51

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Solution

The fourth proportional to 402.32, 555.35 and 369.51 is: 510.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.32 : 555.35 = 369.51 : x
  2. Step 2: Convert to fraction form
    402.32/555.35 = 369.51/x
  3. Step 3: Cross multiply
    402.32x = 555.35 × 369.51
  4. Step 4: Simplify right side
    402.32x = 205,205.53
  5. Step 5: Solve for x
    x = 205,205.53/402.32
  6. Step 6: Final answer
    x = 510.06

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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.