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Finding the Fourth Proportional to 370.16, 554.24 and 283.29

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Solution

The fourth proportional to 370.16, 554.24 and 283.29 is: 424.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.16 : 554.24 = 283.29 : x
  2. Step 2: Convert to fraction form
    370.16/554.24 = 283.29/x
  3. Step 3: Cross multiply
    370.16x = 554.24 × 283.29
  4. Step 4: Simplify right side
    370.16x = 157,009.23
  5. Step 5: Solve for x
    x = 157,009.23/370.16
  6. Step 6: Final answer
    x = 424.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.