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Finding the Fourth Proportional to 352.45, 530.80 and 314.28

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Solution

The fourth proportional to 352.45, 530.80 and 314.28 is: 473.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.45 : 530.80 = 314.28 : x
  2. Step 2: Convert to fraction form
    352.45/530.80 = 314.28/x
  3. Step 3: Cross multiply
    352.45x = 530.80 × 314.28
  4. Step 4: Simplify right side
    352.45x = 166,820.81
  5. Step 5: Solve for x
    x = 166,820.81/352.45
  6. Step 6: Final answer
    x = 473.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.