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Finding the Fourth Proportional to 509.52, 702.40 and 362.10

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Solution

The fourth proportional to 509.52, 702.40 and 362.10 is: 499.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.52 : 702.40 = 362.10 : x
  2. Step 2: Convert to fraction form
    509.52/702.40 = 362.10/x
  3. Step 3: Cross multiply
    509.52x = 702.40 × 362.10
  4. Step 4: Simplify right side
    509.52x = 254,339.04
  5. Step 5: Solve for x
    x = 254,339.04/509.52
  6. Step 6: Final answer
    x = 499.17

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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.