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Finding the Fourth Proportional to 373.29, 514.58 and 284.79

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Solution

The fourth proportional to 373.29, 514.58 and 284.79 is: 392.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.29 : 514.58 = 284.79 : x
  2. Step 2: Convert to fraction form
    373.29/514.58 = 284.79/x
  3. Step 3: Cross multiply
    373.29x = 514.58 × 284.79
  4. Step 4: Simplify right side
    373.29x = 146,547.24
  5. Step 5: Solve for x
    x = 146,547.24/373.29
  6. Step 6: Final answer
    x = 392.58

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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.